The scorix

摘要: In earlier work, some of the present authors have advocated that search for monotonicity votrix, a well-known representation votes, leads to natural ranking rules. order exploit hitherto unconsidered information, we introduced new votex, and was extended this representation. Previously, focused on representations votes based pairwise information left aside another positional information: scorix. paper, propose scorix introduce family rules type monotonicity. It is shown that, in case monotone, all existing scoring give same as output. A monotonicity-based rule has been introduced.This newly proved be independent rules.An ILP proposed select optimal ranking.The procedure illustrated with real example concerning an environmental group decision making problem.